Answer
$3x^{2}(3x+4)(5x+4)$
Work Step by Step
We factor by grouping to obtain:
$3x^{2}(3x+4)^{2}+x^{3}* 2(3x+4)* 3
=3x^{2}(3x+4)^{2}+3x^2*2x(3x+4)
=3x^{2}(3x+4)[(3x+4)+2x]
=3x^{2}(3x+4)(3x+4+2x)
=3x^{2}(3x+4)(5x+4)$
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